{"title":"The spectral diameter of a symplectic ellipsoid","authors":"Habib Alizadeh, Marcelo S. Atallah, Dylan Cant","doi":"arxiv-2408.07214","DOIUrl":null,"url":null,"abstract":"The spectral diameter of a symplectic ball is shown to be equal to its\ncapacity; this result upgrades the known bound by a factor of two and yields a\nsimple formula for the spectral diameter of a symplectic ellipsoid. We also\nstudy the relationship between the spectral diameter and packings by two balls.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Symplectic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.07214","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The spectral diameter of a symplectic ball is shown to be equal to its
capacity; this result upgrades the known bound by a factor of two and yields a
simple formula for the spectral diameter of a symplectic ellipsoid. We also
study the relationship between the spectral diameter and packings by two balls.
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